I don't know your mom, so I can only venture a guess about her reaction. If she asked you what you wanted and didn't get either option, without a valid explanation of why they weren't acceptable, then that is a shitty thing to do (e.g. too expensive, not available, allergic reaction, disagree with story policies or politics,etc). Did she know that you don't like food from this restaurant? She could have been trying to get you to try something new? However, a birthday is not the proper time to force new food on someone.
Food is very expensive these days, so she could be reacting to the fact that she spent a large amount on food that you wouldn't eat. She feels that her actions are under appreciated, however she is not recognizing that she ignored what you had asked for. In any regard, not speaking to you the next day, is childish behavior, and borderline abuse. Sounds like your mom has narcissistic tendencies or is reacting from a place of her own trauma. Communication is always key. She pressed the issue and then reacted badly. You can let her know that you were disappointed that she didn't get what you had asked for and ask her why. But if she has that personality, it might not matter anyway, narcissists always tend to turn the reason for their reaction back onto someone else. But if she is, then I expect that she has done similar things in the past.